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A boy of mass m climbs up a staircase of vertical height h.(a) What is the work done by the boy against the force of gravity?(b) What would have been the work done if he uses a lift in climbing the same vertical height? |
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Answer» Let a boy of mass m climb up through a vertical height h either through staircase of using a lift. The force of gravity on the boy is F = mg acting vertically downwards and the displacement in the direction opposite to force (i.e., vertical) is S = −h. Therefore the work done by the force of gravity on the boy is W = FS = − mgh or, the work W = mgh is done by the boy against the force of gravity. |
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